Features of radiation from a chain of relativistic charged particles rotating about a dielectric ball

Abstract

The spectral distribution of the intensity of radiation from a chain of 1 N > equidistant relativistic charged particles uniformly rotating about a dielectric ball weakly absorbing radiation, in its equatorial plane is investigated. In the case of a single particle (N = 1) and of a special values of problem parameters (frequency of charge gyration, distance between the charge and the ball surface, dielectric permittivity of the ball material), the radiation at certain harmonics with k ≫ 1 may be more intensive by tens of times than that for a charge uniformly rotating in a continuous and infinite medium (having the same dielectric permittivity as that for the ball material). Numerical results testify that if one replaces a single particle rotating about a ball by a chain of N = mk charges (m = 1;2;3...), then the radiation may be amplified by N2 times due to the constructive interference of electromagnetic waves generated by different charges of the chain. The increase in radiated energy is caused by an additional work of external forces sustaining the uniform rotation of charged particles about a dielectric ball.